Strong and weak tests of macroecological theory

Oikos

Volumn 102, Issue 3, 2003, Pages 679-685

  McGill, Brian ^a  

^a UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ECOLOGICAL THEORY; MACROECOLOGY;

EID: 0042519570     PISSN: 00301299     EISSN: None     Source Type: Journal    
DOI: 10.1034/j.1600-0706.2003.12617.x     Document Type: Review

References (60)

1. Allen, A. P., Li, B.-L. and Charnov, E. L. 2001. Population fluctuations, power laws and mixtures of lognormal distributions. - Ecol. Lett. 4: 1-3.
2. Bak, P., Tang, C. and Wiesenfeld, K. 1987. Self-organized criticality: an explanation of 1/f noise. - Phys. Rev. Lett. 59: 381-384.
3. Bianconi, G. and Barabasi, A. L. 2001. Competition and multiscaling in evolving networks. - Europhys. Lett. 54: 436-442.
4. Boucot, A. J. 1996. Epilogue. - Palaeogeogr. Palaeoclimatol. Palaeoecol. 127: 339-359.
5. Brett, C. E., Ivany, L. C. and Schopf, K. M. 1996. Coordinated stasis: an overview. - Palaeogeogr. Palaeoclimatol. Palaeoecol. 127: 1-20.
6. Brown, J. H. and Nicoletto, P. F. 1991. Spatial scaling of species composition: body masses of North American land mammals. - Am. Nat. 138: 1478-1512.
7. Caswell, H. 2001. Matrix population models: construction, analysis, and interpretation. - Sinauer Associates.
8. Cohen, J. E. 1968. Alternate derivations of a species-abundance relation. - Am. Nat. 102: 165.
9. Connor, E. F. and McCoy, E. D. 1979. The statistics and biology of the species-area relationship. - Am. Nat. 113: 791-833.
10. Connor, E. F., McCoy, E. D. and Cosby, B. J. 1983. Model discrimination and expected slope values in species-area studies. - Am. Nat. 122: 789-796.
11. Dewdney, A. K. 2000. A dynamical model of communities and a new species-abundance distribution. - Biol. Bull. 198: 152-165.
12. Ebeling, A. W., Holbrook, S. J. and Schmitt, R. J. 1990. Temporally concordant structure of a fish assemblage: bound or determined? - Am. Nat. 135: 63-73.
13. Engen, S. and Lande, R. 1996. Population dynamic models generating the lognormal species abundance distribution. Math. Biosci. 132: 169-183.
14. Evans, M., Hastings, N. and Peacock, B. 1993. Statistical distributions. - John Wiley & Sons.
15. Grimmett, G. R. and Stirzaker, D. R. 1992. Probability and random processes. - Clarendon Press.
16. Hadly, E. A. and Maurer, B. A. 2001. Spatial and temporal patterns of species diversity in montane mammal communities of western North America. - Evol. Ecol. Res. 3: 477-486.
17. Hanski, I. 1982. Dynamics of regional distribution: the core and satellite species hypothesis. - Oikos 38: 210-221.
18. Harte, J., Kinzig, A. P. and Green, J. 1999. Self-similarity in the distribution and abundance of species. - Science 284: 334-336.
19. Hilborn, R. and Mangel, M. 1997. The ecological detective: confronting models with data. - Princeton Univ. Press.
20. Hubbell, S. P. 2001. A unified theory of biodiversity and biogeography. - Princeton Univ. Press.
21. Lawton, J. H. and Gaston, K. J. 1989. Temporal patterns in the herbivorous insects of bracken: a test of community predictability. - J. Anim. Ecol. 58: 1021-1034.
22. Leitner, W. A. and Rosenzweig, M. L. 1997. Nested species-area curves and stochastic sampling: a new theory. - Oikos 79: 503-512.
23. Lilliefors, H. W. 1967. On the Kolmogorov-Smirnov test for normality with mean and variance unknown. - J. Am. Stat. Assoc. 64: 399-402.
24. Lomolino, M. V. 2000. Ecology's most general, yet protean pattern: the species area relationship. - J. Biogeogr. 27: 17-26.
25. Lomolino, M. V. 2002. Comment on M. Williamson, K. J. Gaston and W. M. Lonsdale. - J. Biogeogr. 29: 555-557.
26. Lomolino, M. V. and Weiser, M. D. 2001. Towards a more general species-area relationship: diversity on all islands, great and small. - J. Biogeogr. 28: 431-445.
27. MacArthur, R. 1957. On the relative abundance of bird species. - Proc. Natl Acad. Sci. USA 43: 293-295.
28. MacArthur, R. 1960. On the relative abundance of species. Am. Nat. 94: 25-36.
29. Mandelbrot, B. B. 1963. New methods in statistical economics. - J. Polit. Econ. 71: 421-440.
30. Mandelbrot, B. B. 1982. The fractal geometry of nature. - W. H. Freeman and Co.
31. Maurer, B. A. and Brown, J. H. 1988. Distribution of energy use and biomass among species of North American terrestrial birds. - Ecology 69: 1923-1932.
32. May, R. M. 1975. Patterns of species abundance and diversity. - In: Cody, M. L. and Diamond, J. M. (eds), Ecology and evolution of communities. Belknap Press of Harvard Univ. Press, pp. 81-120.
33. McAlister, D. 1879. The law of the geometric mean. - Proc. R. Soc. Lond. 29: 367-376.
34. McGowan, J. A. and Walker, P. W. 1985. Dominance and diversity maintenance in an oceanic ecosystem. - Ecol. Monogr. 55: 103-118.
35. Montroll, E. and Shlesinger, M. F. 1982. On 1/f noise and other distributions with long tails. - Proc. Natl Acad. Sci. USA 79: 3380-3383.
36. Motomura, L. 1932. On the statistical treatment of communities. - Zool. Mag. 44: 379-383.
37. Pagel, M. D., May, R. M. and Collie, A. R. 1991. Ecological aspects of the geographical distribution and diversity of mammalian species. - Am. Nat. 137: 791-815.
38. Perline, R. 1996. Zipf's law, the central limit theorem and the random division of the unit interval. - Phys. Rev. E 54: 220-223.
39. Pielou, E. C. 1975. Ecological diversity. - John Wiley & Sons.
40. Pielou, E. C. 1977. Mathematical ecology. - John Wiley & Sons.
41. Preston, F. W. 1948. The commonness and rarity of species. Ecology 29: 254-283.
42. Preston, F. W. 1962. The canonical distribution of commonness and rarity: part I. - Ecology 43: 185-215.
43. Price, J., Droege, S. and Price, A. 1995. The summer atlas of North American birds. - Academic Press.
44. Robbins, C. S., Bystrak, D. and Geissler, P. H. 1986. The breeding bird survey: its first fifteen years, 1965-1979. US Dept of the Interior, Fish and Wildlife Service.
45. Rosenzweig, M. L. 1995. Species diversity in space and time. Cambridge Univ. Press.
46. Rosenzweig, M. L. and Abramsky, Z. 1997. Two gerbils of the Negev: a long-term investigation of optimal habitat selection and its consequences. - Evol. Ecol. 11: 733-756.
47. Schroeder, M. 1991. Fractals, chaos, and power laws: minutes from an infinite paradise? - W. H. Freeman and Co.
48. Shockley, W. 1957. On the statistics of individual variations of productivity in research laboratories. - Proc. Inst. Radio Engineers 45: 279-290.
49. Sichel, H. S. 1997. Modelling species-abundance frequencies and species-individual functions with the generalized inverse Gaussian-Poisson distribution. - S. Afr. Stat. J. 31: 13-37.
50. Simon, H. A. 1955. On a class of skew distribution functions. - Biometrika 42: 425-440.
51. Sugihara, G. 1980. Minimal community structure: an explanation of species-abundance patterns. - Am. Nat. 116: 770-787.
52. Sugihara, G. 1981. S = CAz, z = 1/4: a reply to Connor and McCoy. - Am. Nat. 117: 790-793.
53. Taylor, H. M. and Karlin, S. 1998. An introduction to stochastic modelling. - Academic Press.
54. Tokeshi, M. 1993. Species abundance patterns and community structure. - Adv. Ecol. Res. 24: 111-186.
55. Tokeshi, M. 1999. Species coexistience. - Blackwell Sciences Ltd.
56. West, B. J. and Shlesinger, M. F. 1989. On the unbiquity of 1/f noise. - Int. J. Modern Physics B 3: 795-819.
57. Whittaker, R. H. 1965. Dominance and diversity in land plant communities. - Science 147: 250-260.
58. Wilkinson, L. 1997. SYSTAT 7.0 Statistics. - SPSS.
59. Williams, M. R. 1995. An extreme value function model of the species incidence and species-area relations. - Ecology 76: 2607-2616.
60. Williamson, M., Gaston, K. J. and Lonsdale, W. M. 2001. The species-area relationship does not have an asymptote. - J. Biogeogr. 28: 827-830.